Abstract | ||
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We introduce and study the topological concepts of entropy points, expansivity and shadowing property for dynamical systems on noncompact nonmetrizable spaces, which generalize the relevant concepts for metric spaces. We also obtain various properties on uniform entropy on noncompact nonmetrizable spaces. The main result is a theorem which yields a relation between topological shadowing property and positive uniform entropy. |
Year | DOI | Venue |
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2018 | 10.1142/S0218127418501559 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | Field | DocType |
Uniform space, topological entropy, uniform entropy, entropy point, shadowing property, chaos | Uniform space,Mathematical analysis,Pure mathematics,Topological entropy,Dynamical systems theory,Mathematics | Journal |
Volume | Issue | ISSN |
28 | 12 | 0218-1274 |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
5 |
Name | Order | Citations | PageRank |
---|---|---|---|
Seyyed Alireza Ahmadi | 1 | 0 | 0.68 |
Xinxing Wu | 2 | 68 | 18.44 |
Zonghong Feng | 3 | 0 | 0.68 |
Xin Ma | 4 | 18 | 6.20 |
Tian-Xiu Lu | 5 | 9 | 4.03 |